We approximate a globally measurable multifunction F(t,x) which takes compact values in a euclidean space by means of a decreasing sequence of globally measurable multifunctions F_n(t,x) which are locally lipschitzian with respect to x, in the following cases: F(t,\cdot) is upper semicontinuous and takes connected values, or F(t,\cdot) is continuous.
Approximation from the Exterior of Caratheodory Multifunctions / Benassi, Carlo 6/8/1962; Gavioli, Andrea. - In: ACTA UNIVERSITATIS PALACKIANAE OLOMUCENSIS. FACULTAS RERUM NATURALIUM. MATHEMATICA. - ISSN 0231-9721. - STAMPA. - 39:(2000), pp. 17-35.
Approximation from the Exterior of Caratheodory Multifunctions
BENASSI, Carlo 6/8/1962;GAVIOLI, Andrea
2000
Abstract
We approximate a globally measurable multifunction F(t,x) which takes compact values in a euclidean space by means of a decreasing sequence of globally measurable multifunctions F_n(t,x) which are locally lipschitzian with respect to x, in the following cases: F(t,\cdot) is upper semicontinuous and takes connected values, or F(t,\cdot) is continuous.
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